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Using Progressions to explore if there are infinite Pythagorean Triples Containing Two Primes

2020
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Figshare
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By applying the Theorem regarding Primitive solutions of the Pythagorean equation, this paper initially sets out how a group of Pythagorean triples, that is triples (x, y, z) each comprising of positive integers such that x2 + y2 = z2, are constructed from consecutive positive integers, n and n + 1. This paper then explains how progressions can be formulated for the sequences of the odd numbers in y and z (having categorised x, y and z using the Convention for Pythagorean triples) which arise

doi:10.6084/m9.figshare.12196119
fatcat:m47dnixv5naujgkqucpwiskjca